Question

Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs 50 per metre and trouser material that costs him Rs 90 per metre. For every 2 metres of the trouser material, he buys 3 metres of the shirt material. He sells the shirt material at 12% profit and trouser material at 10% profit. His total sale is Rs 36,600. How much trouser material did he buy

• A. 70 m
• B. 150 m
• C. 120 m
• D. 200 m

Answer 1

The correct option is D 200 m

Let material bought for trousers and shirts be $2x$ meters and $3x$ meters respectively.

Cost price of 2x metres of trouser material at Rs. 90 per metre $=Rs(90\times 2x)=Rs180x$ and

Cost price of 3x metres of shirt material at Rs. 50 per metre $=Rs(50\times 3x)=Rs150x$

Given, profit in case of shirt material = 12%

$\therefore$ Its S.P. $=Rs(150\times \frac{112}{100})=Rs168x$

Also, profit in case of trouser material = 10%

$\therefore$ Its S.P. $=Rs(180\times \frac{110}{100})=198x$

$\therefore$ Total selling price $=Rs.(168x+198x)$
$=Rs.366x$

But the total selling price is given as Rs. 36600.

$\therefore 366x=36600\Rightarrow x=\frac{36660}{3666}=100$

Thus, the trouser material purchased

$=2\times 100m$

$=200m$